Results 71 to 80 of about 2,064,106 (289)
Solution of the Multi-Channel Anderson Impurity Model: Ground state and thermodynamics
We present the solution of the SU(N) x SU(M) Anderson impurity model using the Bethe-Ansatz. We first explain what extensions to the formalism were required for the solution.
A. C. Hewson +19 more
core +1 more source
Ground state solutions to nonlinear equations with p-Laplacian
Ground state solutions are solutions \( u \) of some kind of equations such as the equation \[ \operatorname{div} (r(x)\left|\nabla u\right|^{p-2}\nabla u )+ q(x) F(u) = 0, p > 1,x\in \mathbb{R}^d, \] which are positive, minimize a certain energy functional, and satisfy \(\lim_{|x|\to\infty} u(x) = 0.\) In this paper the authors investigate the ...
Zuzana Došlá, Serena Matucci
openaire +3 more sources
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Quantum spin models with exact dimer ground states
Inspired by the exact solution of the Majumdar-Ghosh model, a family of one-dimensional, translationally invariant spin hamiltonians is constructed. The exchange coupling in these models is antiferromagnetic, and decreases linearly with the separation ...
B. S. Shastry +17 more
core +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Ground-state energy of a Richardson-Gaudin integrable BCS model
We investigate the ground-state energy of a Richardson-Gaudin integrable BCS model, generalizing the closed and open p+ip models. The Hamiltonian supports a family of mutually commuting conserved operators satisfying quadratic relations.
Yibing Shen, Phillip S. Isaac, Jon Links
doaj +1 more source
Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
We investigate the ground state of the system of N bosons enclosed in a hard-wall trap interacting via a repulsive or attractive $\delta$-function potential.
J. Q. Liang +5 more
core +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
Asymptotic behavior of ground state solution for Henon type systems
In this article, we investigate the asymptotic behavior of positive ground state solutions, as $alphaoinfty$, for the following Henon type system $$ -Delta u=frac{2p}{p+q}|x|^alpha u^{p-1}v^q,quad -Delta v=frac{2q}{p+q}|x|^alpha u^pv^{q-1},quad hbox{
Ying Wang, Jianfu Yang
doaj
Nonlinear dynamics as a ground-state solution on quantum computers
For the solution of time-dependent nonlinear differential equations, we present variational quantum algorithms (VQAs) that encode both space and time in qubit registers.
Albert J. Pool +4 more
doaj +1 more source

